Answers

  • Brainly User
2016-07-15T13:41:54+08:00
Smaller number: x
Larger number: x + 5

Equation:

(x)² + (x + 5)² = 5(x)²

x² + (x² + 10x + 25) = 5x²

5x² - x² -x² -10x - 25 = 0

3x² - 10x - 25 = 0

Factor:

(3x + 5) (x - 5) = 0

3x + 5 = 0                x - 5 = 0
3x = -5                    x₂ = 5
3x/3 = -5/3
x₁ = -5/3

Substitute, x = 5:
Smaller Number:x = 5
Larger number: 5 + 5 = 10

ANSWER: The numbers are 5 and 10.

Check:

(5)² + (10)² = 5(5)²
25 + 100 = 5 (25)
125 = 125  (True)
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